MATLAB Simulation of Doppler Frequency Shift in Relation to Distance

This article presents a MATLAB simulation investigating the relationship between Doppler frequency shift and distance. In this simulation, we explore Doppler frequency shifts at various distances and study how this relationship evolves with changing distance parameters. The implementation utilizes fundamental mathematical formulations, particularly the Doppler effect equation f_d = (v/c)*f_c where f_d represents Doppler shift, v is relative velocity, c is wave propagation speed, and f_c is carrier frequency. The MATLAB code will demonstrate how to calculate and simulate these relationships using vectorized operations and distance-based parameter sweeping. Additionally, we examine practical applications of Doppler frequency shift with real-world examples such as radar systems and automotive speed detection. The simulation incorporates distance-dependent scenarios through iterative calculations and graphical visualization using MATLAB's plot functions. Ultimately, this article provides deep insights into the Doppler-distance relationship and demonstrates comprehensive MATLAB-based computation and simulation techniques, including signal processing toolbox functions for advanced analysis.